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arXiv · 2507.23171

McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$

José Luis Cisneros-Molina·Meral Tosun
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Abstract

We explicitly compute the McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$ relative to the natural representation, using character theory and the McKay quivers of finite subgroups of $SU(2)$. We present examples that shows the rich symmetry and combinatorial structure of these quivers. We compare our results with the MacKay quivers computed by Auslander and Reiten.

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BibTeXRIS

José Luis Cisneros-Molina, Meral Tosun. 2025-07-31. McKay quivers of small finite subgroups of $GL(2,\mathbb{C})$. https://arxiv.org/abs/2507.23171

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